Rezayi EH, Haldane FD
Department of Physics, California State University, Los Angeles, California 90032, USA.
Phys Rev Lett. 2000 May 15;84(20):4685-8. doi: 10.1103/PhysRevLett.84.4685.
We consider the two lowest Landau levels at half filling. In the higher Landau level (nu = 5/2), we find a first-order phase transition separating a compressible striped phase from a paired quantum Hall state, which is identified as the Moore-Read state. The critical point is very near the Coulomb potential and the transition can be driven by increasing the width of the electron layer. We find a much weaker transition (either second-order or a crossover) from pairing to the composite fermion Fermi-liquid behavior. A very similar picture is obtained for the lowest Landau level, but the transition point is not near the Coulomb potential.
我们考虑半填充时的两个最低朗道能级。在较高朗道能级（填充因子ν = 5/2）中，我们发现了一个一阶相变，它将一个可压缩条纹相和一个配对量子霍尔态分开，后者被确定为摩尔 - 里德态。临界点非常接近库仑势，并且该相变可以通过增加电子层的宽度来驱动。我们发现从配对到复合费米子费米液体行为的转变要弱得多（要么是二阶相变，要么是交叉相变）。对于最低朗道能级，我们得到了非常相似的情况，但转变点并不接近库仑势。
